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Finding the Fourth Proportional to 14,416.50, 19,891.72 and 8,754.22

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Solution

The fourth proportional to 14,416.50, 19,891.72 and 8,754.22 is: 12,078.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,416.50 : 19,891.72 = 8,754.22 : x
  2. Step 2: Convert to fraction form
    14,416.50/19,891.72 = 8,754.22/x
  3. Step 3: Cross multiply
    14,416.50x = 19,891.72 × 8,754.22
  4. Step 4: Simplify right side
    14,416.50x = 174,136,493.06
  5. Step 5: Solve for x
    x = 174,136,493.06/14,416.50
  6. Step 6: Final answer
    x = 12,078.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.